IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v11y1999i3p463-46810.1007-s100510050957.html
   My bibliography  Save this article

Overlap properties and adsorption transition of two Hamiltonian paths

Author

Listed:
  • S. Franz
  • T. Garel
  • H. Orland

Abstract

We consider a model of two (fully) compact polymer chains, coupled through an attractive interaction. These compact chains are represented by Hamiltonian paths (HP), and the coupling favors the existence of common bonds between the chains. We use a (n=0 component) spin representation for these paths, and we evaluate the resulting partition function within a homogeneous saddle point approximation. For strong coupling (i.e. at low temperature), one finds a phase transition towards a “frozen” phase where one chain is completely adsorbed onto the other. By performing a Legendre transform, we obtain the probability distribution of overlaps. The fraction of common bonds between two HP, i.e. their overlap q, has both lower (q m ) and upper (q M ) bounds. This means in particular that two HP with overlap greater than q M coincide. These results may be of interest in (bio)polymers and in optimization problems. Copyright Società Italiana di Fisica, Springer-Verlag 1999

Suggested Citation

  • S. Franz & T. Garel & H. Orland, 1999. "Overlap properties and adsorption transition of two Hamiltonian paths," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 11(3), pages 463-468, October.
    • Handle: RePEc:spr:eurphb:v:11:y:1999:i:3:p:463-468:10.1007/s100510050957
    DOI: 10.1007/s100510050957
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s100510050957
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s100510050957?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:11:y:1999:i:3:p:463-468:10.1007/s100510050957. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.